[3a^2/2div4a/3]div6a/3x^2= eching

$$[ \frac { 3 a ^ { 2 } } { 2 } \div \frac { 4 a } { 3 } ] \div \frac { 6 a } { 3 x ^ { 2 } } =$$

Baholash

$$\frac{9x^{2}}{16}$$

Yechim qadamlari

\frac{\frac{3a^{2}}{2}}{\frac{4a}{3}} ni \frac{6a}{3x^{2}} ga bo'lish \frac{\frac{3a^{2}}{2}}{\frac{4a}{3}} ga k'paytirish \frac{6a}{3x^{2}} ga qaytarish.

$$\frac{\frac{3a^{2}}{2}\times 3x^{2}}{\frac{4a}{3}\times 6a}$$

\frac{3a^{2}}{2}\times 3 ni yagona kasrga aylantiring.

$$\frac{\frac{3a^{2}\times 3}{2}x^{2}}{\frac{4a}{3}\times 6a}$$

\frac{3a^{2}\times 3}{2}x^{2} ni yagona kasrga aylantiring.

$$\frac{\frac{3a^{2}\times 3x^{2}}{2}}{\frac{4a}{3}\times 6a}$$

6 va 3 ichida eng katta umumiy 3 faktorini bekor qiling.

$$\frac{\frac{3a^{2}\times 3x^{2}}{2}}{2\times 4aa}$$

9 hosil qilish uchun 3 va 3 ni ko'paytirish.

$$\frac{\frac{9a^{2}x^{2}}{2}}{2\times 4aa}$$

a^{2} hosil qilish uchun a va a ni ko'paytirish.

$$\frac{\frac{9a^{2}x^{2}}{2}}{2\times 4a^{2}}$$

8 hosil qilish uchun 2 va 4 ni ko'paytirish.

$$\frac{\frac{9a^{2}x^{2}}{2}}{8a^{2}}$$

\frac{\frac{9a^{2}x^{2}}{2}}{8a^{2}} ni yagona kasrga aylantiring.

$$\frac{9a^{2}x^{2}}{2\times 8a^{2}}$$

Surat va maxrajdagi ikkala a^{2} ni qisqartiring.

$$\frac{9x^{2}}{2\times 8}$$

16 hosil qilish uchun 2 va 8 ni ko'paytirish.

$$\frac{9x^{2}}{16}$$

x ga nisbatan hosilani topish

$$\frac{9x}{8}$$